Exact Solutions of the (3+1) Generalized Fractional Nonlinear Wave Equation with Gas Bubbles

U.A. Muhammad¹ , A. Salisu²

1. Department of General Studies, School of Vocational Education Skills and professional Development, Federal Polytechnic, Daura, Katsina state, Nigeria.
2. Department of General Studies, School of Vocational Education Skills and professional Development, Federal Polytechnic, Daura, Katsina state, Nigeria.

Section:Research Paper, Product Type: Journal-Paper
Vol.9 , Issue.6 , pp.11-24, Dec-2022

Online published on Dec 31, 2022

Copyright © U.A. Muhammad, A. Salisu . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
This article investigates exact desolate wave blend (solutions) for the fractional (3+1) generalized computational (nonlinear) wave equation (identification) with gas bubbles. Liquids with gas bubbles mainly arise in manifold or crowded applications like science, engineering, nature, and physics. We explored this model using some well-known ansatz techniques and the sine-cosine procedure. These procedure or methods yield different periodic and hyperbolic desalate wave blend (solutions). Moreover, solving the (3+1) Aspect (dimensional) generalized fractional nonlinear wave equation with gas bubbles is equivalent to solving many physical models, such as the (2+1)-dimensional Kadomtsev-Petviashvil model with gloomy despair, the (3+1)-dimensional Kadomtsev-Petviashvili model, the (3+1) dimensional(aspect) nonlinear waves with bubble liquid mixture, and other special cases of the considered model. Finally, we conspiracy both 2D and 3D as well as the curve plots to understand the physical application of the considered model using maple.

Key-Words / Index Term :
Wave equation; gas bubbles; ansatz technique; sine-cosine method, desolate wave blend (solutions)

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